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Finding the Fourth Proportional to 26,284.38, 39,426.66 and 7,564.74

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Solution

The fourth proportional to 26,284.38, 39,426.66 and 7,564.74 is: 11,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,284.38 : 39,426.66 = 7,564.74 : x
  2. Step 2: Convert to fraction form
    26,284.38/39,426.66 = 7,564.74/x
  3. Step 3: Cross multiply
    26,284.38x = 39,426.66 × 7,564.74
  4. Step 4: Simplify right side
    26,284.38x = 298,252,431.97
  5. Step 5: Solve for x
    x = 298,252,431.97/26,284.38
  6. Step 6: Final answer
    x = 11,347.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.